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Enter a value, an expression, or a term with a variable like 10^n+1 to list a range. Switch to Database id to look a number up by its stored id. Reading never stores anything; use Create to add a number to the database. See the expression syntax & functions reference.

P · Proven prime
id #1100000007222400823 2,480 digits created 2024-07-08

Value

70932696357666624203763882316052696158490541590077490509408641312544778897053558512302694734265232672935964392450704283604869182808865597852073303385711126016800672799695525360415743348124699295682398122978145989652575771496840207812946229815008455494851408140935674986572234572919736495458694571218244669193506426333800213590730155863189326649323766572245347760672735654195787641650838259009153027079829897941120916547936010755150952860872809313376806616913097665431717883202954719867433337401528761222022294665923826600095655420638550602918564999803238764357137536514356333471011336018372586942473941025007300187380150203587248850487346937317740597673230984088368979624738153102938108254563869233559153711225884044035547552600440383809912274489190837291995309661062448691879986374445235105197983945391832024976784896849779597540869872229802570792021448101393023900730133313524600651547843407080228660632317282171994365088076805821016327562617025958507903543836173779448227630691330383596387305191245980734774560875691734900791371567418267812403883318911007433419322285646802469786998393514505280560835666290007290046097764035411158965117322280693460620917545418564698435129507923733729476303194715928641087571133839305108669757888348744850623517817759392172498562733562907110191274918174911215645240847697313848434707222478852570046916285932458554764946331618626783767191468050864641035859029112370092052966989143238276451337003925866491847420729398713286608991824455360420264517044922499685567755267010034375125888831876363739074745736786322194807538055368670289120788880758443596538052044451710182585233720268374668340343930683677692563528330738211143006495037224646938845955124668457338140599211851442302646339519359052744842542506339832887958677853746866997599874082678809502496252579507640566818098767259886074255474605613242264981267678077867599451276850051711061870953393752588890979717653554788992255955876000546752009930844596670708215480506706764592316286975893441348669455701691934734694759483994841992158355322226495537388126104203679286882850871660659305697633754493416108403177985793688785228940727171697168680181940815620986011938899789821847680505996893871417682155845509147745520451237067413506017361727472560901831739653576133940739115244314123776691790283291659012523583943604444376656726798844930699830296692278663851031943276605886954684811981197935352992452504515396584434600225605450981978356266498895407871336786978218091664517194523788424081500925625041
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 7 of the certificate chain of a 2,536-digit prime (263 intermediate primes).

Certified number2,536-digit prime
Certificatedownload
Certificate chainshow step 7 of 263

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000007222400823 --detail 2 --decimal
curl
curl -s 'https://factordb.com:4059/rpc' -H 'Content-Type: application/json' -d '{"jsonrpc":"2.0","id":1,"method":"get_number","params":{"target":{"id":1100000007222400823},"decimal":true,"detail":2}}'